diff --git a/rust.spec b/rust.spec
index f52cc9d..c03d057 100644
--- a/rust.spec
+++ b/rust.spec
@@ -62,22 +62,22 @@ Conflicts:      rustc-bootstrap
 Provides:       rustc = %{version}
 Provides:       rustc-stable = %{version}
 BuildRoot:      %{_tmppath}/%{name}-%{version}-build
-ExclusiveArch:  %{ix86} x86_64 %{arm} aarch64 ppc64 ppc64le
+ExclusiveArch:  %{ix86} x86_64 %{arm} aarch64 ppc64 ppc64le s390x
 
 %if 0%{?suse_version}
 BuildRequires:  fdupes
 %endif
 
-%ifarch %{arm} aarch64 ppc64 ppc64le
+%ifarch %{arm} aarch64 ppc64 ppc64le s390x
 BuildRequires:  cargo-bootstrap
-BuildRequires:  rustc-bootstrap == %{prev_version}
+BuildRequires:  rustc-bootstrap >= %{prev_version}
 %else
-%if %{with bootstrap} || 0%{?leap_version} <= 420200
+%if %{with bootstrap} || (0%{?suse_version} < 1330 && 0%{?sle_version} < 120300)
 BuildRequires:  cargo-bootstrap
-BuildRequires:  rustc-bootstrap == %{prev_version}
+BuildRequires:  rustc-bootstrap >= %{prev_version}
 %else
 BuildRequires:  cargo
-BuildRequires:  rust == %{prev_version}
+BuildRequires:  rust >= %{prev_version}
 %endif
 %endif